Hamming weights in irreducible cyclic codes

The objectives of this paper are to survey and extend earlier results on the weight distributions of irreducible cyclic codes, present a divisibility theorem and develop bounds on the weights in irreducible cyclic codes.

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Bibliographic Details
Published inDiscrete mathematics Vol. 313; no. 4; pp. 434 - 446
Main Authors Ding, Cunsheng, Yang, Jing
Format Journal Article
LanguageEnglish
Published Elsevier B.V 28.02.2013
Subjects
Cyclic codes
Cyclotomy
Difference sets
Gaussian periods
Irreducible cyclic codes
Weight distribution
Weight distribution
Cyclotomy
Gaussian periods
Difference sets
Irreducible cyclic codes
Cyclic codes
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Summary:The objectives of this paper are to survey and extend earlier results on the weight distributions of irreducible cyclic codes, present a divisibility theorem and develop bounds on the weights in irreducible cyclic codes.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2012.11.009